{"id":"https://openalex.org/W4286111676","doi":"https://doi.org/10.3390/axioms11070352","title":"Iterative Approximate Solutions for Variational Problems in Hadamard Manifold","display_name":"Iterative Approximate Solutions for Variational Problems in Hadamard Manifold","publication_year":2022,"publication_date":"2022-07-21","ids":{"openalex":"https://openalex.org/W4286111676","doi":"https://doi.org/10.3390/axioms11070352"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11070352","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11070352","pdf_url":"https://www.mdpi.com/2075-1680/11/7/352/pdf?version=1658463431","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/7/352/pdf?version=1658463431","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048170351","display_name":"Mohammad Dilshad","orcid":"https://orcid.org/0000-0003-3217-8295"},"institutions":[{"id":"https://openalex.org/I72264486","display_name":"University of Tabuk","ror":"https://ror.org/04yej8x59","country_code":"SA","type":"education","lineage":["https://openalex.org/I72264486"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Mohammad Dilshad","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090094176","display_name":"Doaa Filali","orcid":"https://orcid.org/0000-0003-2450-3043"},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Doaa Filali","raw_affiliation_strings":["Department of Mathematical Science, College of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh 84428, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Science, College of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh 84428, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091492036","display_name":"Sumit Chandok","orcid":"https://orcid.org/0000-0003-1928-2952"},"institutions":[{"id":"https://openalex.org/I162030827","display_name":"Thapar Institute of Engineering & Technology","ror":"https://ror.org/00wdq3744","country_code":"IN","type":"education","lineage":["https://openalex.org/I162030827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sumit Chandok","raw_affiliation_strings":["School of Mathematics, Thapar Institute of Engineering & Technology, Patiala 147004, Punjab, India"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Thapar Institute of Engineering & Technology, Patiala 147004, Punjab, India","institution_ids":["https://openalex.org/I162030827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035823439","display_name":"Mohammad Akram","orcid":"https://orcid.org/0000-0003-1416-5351"},"institutions":[{"id":"https://openalex.org/I4210151290","display_name":"Islamic University of Madinah","ror":"https://ror.org/03rcp1y74","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210151290"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mohammad Akram","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Islamic University of Madinah, P.O. Box 170, Madinah 42351, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Islamic University of Madinah, P.O. Box 170, Madinah 42351, Saudi Arabia","institution_ids":["https://openalex.org/I4210151290"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5048170351","https://openalex.org/A5090094176"],"corresponding_institution_ids":["https://openalex.org/I106778892","https://openalex.org/I72264486"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09926054,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"7","first_page":"352","last_page":"352"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.8167277574539185},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6963738203048706},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6487241387367249},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6451177000999451},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.60191810131073},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5497373938560486},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5035168528556824},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.49094513058662415},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4775353670120239},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.4393000602722168},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24726691842079163},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0769442617893219}],"concepts":[{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.8167277574539185},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6963738203048706},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6487241387367249},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6451177000999451},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.60191810131073},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5497373938560486},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5035168528556824},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.49094513058662415},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4775353670120239},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.4393000602722168},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24726691842079163},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0769442617893219},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11070352","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11070352","pdf_url":"https://www.mdpi.com/2075-1680/11/7/352/pdf?version=1658463431","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5b8380878a9d439b8b7f362ce6f0d3df","is_oa":true,"landing_page_url":"https://doaj.org/article/5b8380878a9d439b8b7f362ce6f0d3df","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 7, p 352 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/7/352/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11070352","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 11; Issue 7; Pages: 352","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11070352","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11070352","pdf_url":"https://www.mdpi.com/2075-1680/11/7/352/pdf?version=1658463431","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6899999976158142}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322484","display_name":"Princess Nourah Bint Abdulrahman University","ror":"https://ror.org/05b0cyh02"},{"id":"https://openalex.org/F4320337220","display_name":"Deanship of Scientific Research, Princess Nourah Bint Abdulrahman University","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4286111676.pdf","grobid_xml":"https://content.openalex.org/works/W4286111676.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1829016334","https://openalex.org/W1978282155","https://openalex.org/W1989651752","https://openalex.org/W2007556045","https://openalex.org/W2011987913","https://openalex.org/W2038497950","https://openalex.org/W2058655938","https://openalex.org/W2065103551","https://openalex.org/W2120731700","https://openalex.org/W2184567536","https://openalex.org/W2912917324","https://openalex.org/W2962125754","https://openalex.org/W2973864694","https://openalex.org/W3135963437","https://openalex.org/W3136456535","https://openalex.org/W3164306345","https://openalex.org/W3164973107","https://openalex.org/W3182353206","https://openalex.org/W4235476591","https://openalex.org/W4312261814","https://openalex.org/W6991992016"],"related_works":["https://openalex.org/W2378562963","https://openalex.org/W2350788688","https://openalex.org/W2353579944","https://openalex.org/W2103912232","https://openalex.org/W2089967807","https://openalex.org/W2031390949","https://openalex.org/W2078306205","https://openalex.org/W4378376763","https://openalex.org/W2033997865","https://openalex.org/W1964706674"],"abstract_inverted_index":{"The":[0],"goal":[1],"of":[2,18,29,52,70],"this":[3],"paper":[4],"is":[5],"to":[6,47],"propose":[7],"and":[8,25,55,75],"investigate":[9],"new":[10],"iterative":[11,73],"methods":[12,74],"for":[13,61],"examining":[14],"an":[15,22],"approximate":[16],"solution":[17,51],"a":[19,26,57],"fixed-point":[20],"problem,":[21,24],"equilibrium":[23],"finite":[27],"collection":[28],"variational":[30],"inclusions":[31],"in":[32],"the":[33,43,49,62,71],"Hadamard":[34],"manifold\u2019s":[35],"structure.":[36],"Operating":[37],"under":[38],"some":[39],"assumptions,":[40],"we":[41],"extend":[42],"proximal":[44],"point":[45],"algorithm":[46],"estimate":[48],"common":[50,63],"stated":[53],"problems":[54],"obtain":[56],"strong":[58],"convergence":[59,77],"theorem":[60],"solution.":[64],"We":[65],"also":[66],"present":[67],"several":[68],"consequences":[69],"proposed":[72],"their":[76],"results.":[78]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}